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A financial advisor is about to build an investment portfolio for a client who has $100,000 to invest. The four investments available are A, B, C, and D. Investment A will earn 4 percent and has a risk of one "point" per $1,000 invested. B earns 6 percent with 2 risk points; C earns 9 percent with 6 risk points; and D earns 11 percent with a risk of 8. The client has put the following conditions on the investments: A is to be no more than one-third of the total invested. A cannot be less than 10 percent of the total investment. D cannot be more than C. Total risk points must be at or below 1,000. Let A be the amount invested in investment A, and define B, C, and D similarly. Formulate the linear programming model.
Waggle Dance
A figure-eight dance performed by honeybees to communicate the direction and distance of a food source to other bees in the hive.
Pheromones
Chemical substances produced and released into the environment by animals, affecting the behavior or physiology of others of the same species.
Noncompensatory Model
A decision-making approach where no trade-offs are allowed; that is, a poor score in one criterion cannot be offset by a high score in another.
Algorithm
A step-by-step procedure or set of rules designed to solve a problem or perform a specific task.
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